20745600 has 96 divisors (see below), whose sum is σ = 68362440. Its totient is φ = 5529600.

The previous prime is 20745583. The next prime is 20745623. The reversal of 20745600 is 654702.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8520 + ... + 10680.

Almost surely, 2^20745600 is an apocalyptic number.

20745600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34181220).

20745600 is an abundant number, since it is smaller than the sum of its proper divisors (47616840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20745600 is a wasteful number, since it uses less digits than its factorization.

20745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 20745600 is about 4554.7338012226. The cubic root of 20745600 is about 274.7738084956.

The spelling of 20745600 in words is "twenty million, seven hundred forty-five thousand, six hundred".